kW to GPM

Find the chilled or heating water flow rate needed to carry a thermal load at your design temperature difference.

kW to GPM Calculator

GPM = BTU/hr ÷ (500 × ΔT)
50 kW
kW
10 °F
°F

Difference between flow and return

Quick values

At a glance

GPM = BTU/hr ÷ (500 × ΔT)
Water flow
34.1 GPM
Thermal load
50 kW
Temperature difference
10 °F

Every diagram and table on this page updates with the calculator above.

Output

Live
Water flow
34.1GPM
GPM = 170,607.1 BTU/hr ÷ (500 × 10 °F) = 34.12 GPM
In litres per second2.15 L/s
In cubic metres per hour7.75 m³/h

The kW to GPM Formula

GPM = BTU/hr ÷ (500 × ΔT)

Convert kW to BTU/hr first by multiplying by 3,412.142.

The 500 constant is water doing the work: 8.33 lb per gallon × 60 minutes per hour × 1 BTU per lb·°F. Change the fluid and the constant changes with it.

The metric equivalent

In SI units the same relationship is L/s = kW ÷ (4.18 × ΔT in °C), where 4.18 is the specific heat of water in kJ/kg·K.

Note: Assumes plain water; glycol mixtures need a correction factor.

The conversion

Live
Input50kW
Result34.12GPM
Thermal load to water flow

How Water Carries the Load

Flow rate and temperature rise are the two ways to move a given quantity of heat. Fix the load and they trade off exactly — double the temperature difference and you halve the flow.

That single relationship drives the whole hydraulic design: pipe diameters, pump sizes, valve authority and the energy the pumps will consume for the next twenty years.

Heat transfer

Live
Load170,607 BTU/hr
Flow
34.1 GPM
T = 10 °F
Return
Load carried by the water circuit

Why Delta-T Decides the Pump

SystemTypical design ΔTNotes
Chilled water, conventional10 – 12 °F (5.5 – 6.7 °C)Standard for most commercial systems
Chilled water, high delta-T16 – 20 °F (9 – 11 °C)Smaller pipes and pumps, needs careful coil selection
Heating, radiators20 °F (11 °C)Traditional design
Heating, condensing boiler36 °F (20 °C)Low return temperature keeps the boiler condensing
District heating40 – 90 °F (22 – 50 °C)Large ΔT minimises network pumping

Pumping power scales roughly with the cube of flow, so halving the flow can cut pump energy by around 85%. That is why raising design delta-T is one of the highest-value decisions in a hydraulic system.

Flow against delta-T

Live
341.20150Temperature difference (°F)
10 °F34.12 GPM
Required flow across the whole delta-T range at your load

Flow Rate by Thermal Load

Required water flow across a range of loads at your design temperature difference.

Flow chart

Live
kWWater flow (GPM)Water flow (L/s)
5 kW3.40.22
10 kW6.80.43
20 kW13.60.86
35 kW23.91.51
50 kW34.12.15
75 kW51.23.23
100 kW68.24.31
150 kW102.46.46
200 kW136.58.61
300 kW204.712.92
500 kW341.221.53
700 kW477.730.14
1,000 kW682.443.05

Flow for Every Load and Delta-T

The clearest way to see what a design decision on delta-T costs or saves in flow rate.

Flow lookup grid

Live
GPM for each kW × °F combination
kW8 °F10 °F12 °F16 °F20 °F
10 kW8.56.85.74.33.4
25 kW21.317.114.210.78.5
50 kW42.734.128.421.317.1
100 kW85.368.256.942.734.1
200 kW170.6136.5113.785.368.2
400 kW341.2273227.5170.6136.5
800 kW682.4545.9455341.2273

From Flow Rate to Pipe Size

Once flow is known, pipe size follows from a velocity limit. Too fast causes noise and erosion; too slow means oversized pipe and poor air removal.

Nominal sizeTypical flow at 1.5 m/sApproximate
DN25 (1")0.7 L/s11 GPM
DN40 (1½")1.9 L/s30 GPM
DN50 (2")3.0 L/s48 GPM
DN80 (3")7.5 L/s119 GPM
DN100 (4")12 L/s190 GPM
DN150 (6")27 L/s428 GPM

Indicative only — final sizing depends on the velocity and pressure drop limits in your design standard.

  • Velocity within 0.9–3.0 m/s for the pipe size and service.
  • Pressure drop per metre inside the design limit.
  • Branch velocities low enough to avoid noise near occupied spaces.
  • Air venting and drainage provided at high and low points.
  • Expansion and support allowed for the operating temperature.

Flow gauge

Live
0500
34.12 GPMRequired flow

Low Delta-T Syndrome

When the measured temperature difference falls below design, the system pumps more water than necessary without delivering extra cooling. It is one of the most common faults in commercial chilled water plant.

Three-way valves

Bypass flow mixes return water back into the loop, diluting the return temperature.

Fouled coils

Dirty or under-performing coils cannot extract the design temperature rise.

Excess pump head

Over-pumped circuits push water through too fast for full heat transfer.

Diagnosing it
  • Compare measured flow and return temperatures against design.
  • Check for open bypasses and three-way valves left in manual.
  • Verify coil cleanliness and airside performance.
  • Confirm control valve authority and actuator travel.
  • Review pump speed control against actual demand.

Three delta-T cases

Live
ΔT 6 °F (poor)
Flow
56.9 GPM
Flow
3.59 L/s
ΔT 10 °F (design)
Flow
34.1 GPM
Flow
2.15 L/s
ΔT 16 °F (high)
Flow
21.3 GPM
Flow
1.35 L/s
The same load at three different temperature differences

kW to GPM Questions

Common questions about converting kw to gpm.

Convert to BTU/hr (× 3,412.142), then divide by 500 × ΔT in °F. Flow rate depends on the temperature difference, so kW alone is not enough.

About 34 GPM at a 10 °F difference, or 17 GPM at 20 °F.

8.33 lb per gallon × 60 min/hr × 1 BTU/lb·°F for water, which rounds to 500.

Not directly. Glycol mixtures have lower specific heat and higher density, so apply the manufacturer correction factor, typically 3–10% more flow.

When the actual temperature difference is below design, the system pumps more water than necessary, wasting energy without delivering extra capacity.

L/s = kW ÷ (4.18 × ΔT in °C), using the specific heat of water in kJ/kg·K.